Topology

This book is based on lectures I have given to senior undergraduate and graduate audiences at Oxford and elsewhere over the years.

The first international conference on Probability in Banach Spaces was held at Oberwolfach, West Germany, in 1975.

Topological surgery is a mathematical technique used for creating new manifolds out of known ones.

From the reviews: "e;In the world of mathematics, the 1980's might well be described as the "e;decade of the fractal"e;.

Topological tools in Nonlinear Analysis had a tremendous develop- ment during the last few decades.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

In this book we study function spaces of low Borel complexity.

Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

1.

Surveys and articles on recent developments in pure and applied singularity theory.

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century.

This comprehensive book explores the intricate realm of fine potential theory.

This book presents the relationship between classical theta functions and knots.

This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature.

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9-11 December 2018.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds.

In honour of the 65th birthday of Professor M Obata a workshop was held at Keio University.

The golden age of mathematics-that was not the age of Euclid, it is ours.

Algebra, as we know it today, consists of many different ideas, concepts and results.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

This book is an introduction to manifolds at the beginning graduate level.

This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds.

This book is an introduction to the role of topology in the quantization of classical systems.

Friendly introduction to higher index theory, a growing subject at the intersection of geometry, topology and operator algebras.

This second volume shows how factorization algebras arise from interacting field theories, both classical and quantum.

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances.

This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona.

Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms.

These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s.

The general theory of relativity, as formulated by Albert Einstein in 1915, provided an astoundingly original perspective on the physical nature of gr- itation, showing that it could be understood as a feature of a curvature in the four-dimensional continuum of space-time.

This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels.

This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail.

Studies in Topology is a compendium of papers dealing with a broad portion of the topological spectrum, such as in shape theory and in infinite dimensional topology.

This book studies diverse aspects of braid representations via knots and links.

This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

The flood of information through various computer networks such as the In- ternet characterizes the world situation in which we live.

Real analytic sets in Euclidean space (Le.

An undergraduate topology text describing knot theory, 3-dimensional manifolds, and embedded graphs, and the role these play in understanding molecular structures.

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus.

This book elaborates on an idea put forward by M.